Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27744f |
Isogeny class |
Conductor |
27744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
13903239744 = 26 · 32 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-674,3864] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:56:1] |
Generators of the group modulo torsion |
j |
21952/9 |
j-invariant |
L |
3.8183502536096 |
L(r)(E,1)/r! |
Ω |
1.1364444091546 |
Real period |
R |
3.3599094006279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27744bb1 55488bj2 83232bn1 96a1 |
Quadratic twists by: -4 8 -3 17 |